We consider the Hamiltonian system consisting of scalar wave eld and a single particle coupled in a translation invariant manner. The point particle is subject to a connning external potential. The stationary solutions of the system are a Coulomb type wave eld centered at those particle positions for which the external force vanishes. We prove that solutions of nite energy converge, in suitable...

A new motion eld representation based on the boundary-control vector (BCV) scheme for video coding is examined in this work. With this scheme, the motion eld is characterized by a set of control vectors and boundary functions. The control vectors are associated with the center points of blocks to control the overall motion behavior. We use the boundary functions to specify the continuity of the...

We show that every amenable group with a locally invariant partial order has a left-invariant total order (and is therefore locally indicable). We also show that if a group G admits a left-invariant total order, and H is a locally nilpotent subgroup of G, then a left-invariant total order on G can be chosen so that its restriction to H is both left-invariant and right-invariant. Both results fo...

We prove that under some restrictions the ow of a Hamiltonian vector eld on a nite dimensional Poisson manifold exists for all time.

We introduce the notion of a Lie-like algebra⋄ (superalgebra⋄) for ⋄ ∈ { , , 3−rd }. By bundling a family of algebras, we introduce six new generalizations of Lie algebras which are called Lie-like algebras or Lie-like superalgebras in this paper. The examples of the new generalizations of Lie algebras come from an invariant algebra (or an invariant superalgebra), where the notion of an invaria...

We consider six dimensional N = 1 space-time supersymmetric Type IIB orientifolds with non-zero untwisted NS-NS sector B-eld. The B-eld is quantized due to the requirement that the Type IIB spectrum be left-right symmetric. The presence of the B-eld results in rank reduction of both 99 and 55 open string sector gauge groups. We point out that in some of the models with non-zero B-eld there are ...

The overall objective in de®ning feature space is to reduce the dimensionality of pattern space yet maintaining discriminatory power for classi®cation and invariant description. To meet this objective, in the context of ear biometrics, a novel force ®eld transformation has been developed in which the image is treated as an array of Gaussian attractors that act as the source of a force ®eld. The...

Orientation selective cortical neurons show contrast-invariant orientation tuning curves, contrast saturation and contrast adaptation. Additionally, their responses are modulated by oriented stimuli outside the classical receptive eld. We characterize the extent, to which these eeects can be caused by a recurrent network of simple neurons, and which properties are probably due to plasticity of ...

Computerized tomography usually deals with the determination of scalar quantities from integral information along lines. During the 90's tomographic methods have been developed that enable (at least partial) recovery also of vector elds from integral information. Depending on which component of the vector eld is considered, e.g. the ones parallel or transversal to the line, diierent characteris...

We will prove the equivariant version of Smale’s transversality theorem: suppose that the compact Lie-group G acts on the compact differentiable manifold M on which an invariant Morse-function f and an invariant vector field X are given so that X is gradient-like with respect to f (i.e. X(f) < 0 away from critical orbits and X is the gradient of f (w.r.t. a fixed invariant Riemannian metric) on...